On spatial mutation-selection models
Journal Article
·
· Journal of Mathematical Physics
- Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld (Germany)
- IITP, RAS, Bolshoi Karetnyi 19, Moscow (Russian Federation)
We discuss the selection procedure in the framework of mutation models. We study the regulation for stochastically developing systems based on a transformation of the initial Markov process which includes a cost functional. The transformation of initial Markov process by cost functional has an analytic realization in terms of a Kimura-Maruyama type equation for the time evolution of states or in terms of the corresponding Feynman-Kac formula on the path space. The state evolution of the system including the limiting behavior is studied for two types of mutation-selection models.
- OSTI ID:
- 22251419
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 54; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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